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Finding the Third Proportional to 142,925.50 and 282,236.50

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Solution

The third proportional to 142,925.50 and 282,236.50 is: 557,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,925.50 : 282,236.50 = 282,236.50 : x
  2. Step 2: Convert to fraction form
    142,925.50/282,236.50 = 282,236.50/x
  3. Step 3: Cross multiply
    142,925.50x = 282,236.50 × 282,236.50
  4. Step 4: Simplify right side
    142,925.50x = 79,657,441,932.25
  5. Step 5: Solve for x
    x = 79,657,441,932.25/142,925.50
  6. Step 6: Final answer
    x = 557,335.41

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.